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Finding the Fourth Proportional to 378.22, 566.81 and 195.24

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Solution

The fourth proportional to 378.22, 566.81 and 195.24 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.22 : 566.81 = 195.24 : x
  2. Step 2: Convert to fraction form
    378.22/566.81 = 195.24/x
  3. Step 3: Cross multiply
    378.22x = 566.81 × 195.24
  4. Step 4: Simplify right side
    378.22x = 110,661.36
  5. Step 5: Solve for x
    x = 110,661.36/378.22
  6. Step 6: Final answer
    x = 292.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.